Mathematics Standards

Grades 5-7 Mathematics Standards and Benchmarks

Numbers, Number Sense, and Operations:

B. Compare, order and convert among fractions, decimals and percents.
C. Develop meaning for percents, including percents greater than 100 and less than 1
F. Apply number system properties when performing computations.
H. Use and analyze the steps in standard and non-standard algorithms for computing with fractions, decimals and integers.
I. Use a variety of strategies, including proportional reasoning, to estimate, compute, solve and explain solutions to problems involving integers, fractions, decimals and percents.

Measurement:

A.

Select appropriate units to measure angles, circumference, surface area mass and volume, using:

  • U. S. customary units: e.g., degrees, square feet, pounds, and other units as appropriate;
  • Metric units, e.g., square meters, kilograms and other units as appropriate
B.

Convert units of length, area, volume, mass and time within the same measurement system.
C. Identify appropriate tools and apply appropriate techniques for measuring angles, perimeter, or circumference and area of triangles, quadrilaterals, circles and composite shapes, and surface area and volume of prisms and cylinders.
E. Use problem solving techniques and technology as needed to solve problems
G. Understand and demonstrate the independence of perimeter and area for two-dimensional shapes and of surface area and volume for there-dimensional shapes.

Geometry and Spatial Sense Benchmark:

A. Identify and label angle pars and the regions defined within the plane where the angle resides.
D. Identify, describe and classify types of line pairs, angles, two-dimensional figures and three-dimensional objects and their properties.
G. Describe and use properties of triangles to solve problems involving angle measures and side lengths of right triangles.

Patterns, Functions and Algebra:

B. Represent, ananlyze and generalize a variety of patterns and functions with tables, graphs, words and symbolic rules.
C. .Use variables to create and solve equations and inequalities representing problem situations
F. Use representations, such as tables, graphs and equations, to model situations and to solve problems, especially those that involve linear relationships.
G. Write, simplify and evaluate algebraic expressions.
I. Explain how inverse operations are used to solve linear equeations.
L. Analyze functional relationships, and explain how a change in one quantitiy results in a change in the other

Data Analysis and Probability:

A. Read, create and use line graphs, histograms, circle graphs, box-and-whisker plots, stem-and-leaf plots, and other representations when appropriate.
B. Interpret data by looking for patterns and relationships, draw and justify conclusions, and answer related questions.
D. Compare increasingly complex displays of data for a specific purpose or need.
E. Collect, organize, display and interpret data for a specific purpose or need.
F. Determine and use the range, mean, median and mode to analyze and compare data, and explain what each indicates about the data.
I. Describe the probability of an event using ratios, including fractional notation

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